👉 News from Applied Matrix Algorithms:

🧮 A New Formula for Matrix Condition Numbers😁


We’re opening early access to a Matrix Stabilization Service — grounded in mathematics, not trial-and-error.

Our new formulation expands the (Frobenius) condition number
cond(A)=∥A∥ * ⁣∥ inv(A) ∥ F​into a 4×4 multiplication structure— sixteen interacting terms that reveal exactly where large condition numbers arise.

From there, our proprietary matrix-partition method pinpoints and corrects the few entries responsible for most matrix instability.

We’ve implemented several algorithms:

1️⃣ A precise scanner that detects the numeric causes of large condition numbers and performs minimal optimized edits for maximum reduction based on our unique partition methods.

2️⃣ A 2×2 -to- n×n inspection path that finds further decreases by analyzing local block behavior.

3️⃣ A new route tuned for ML and LLM feature matrices, where mixed numeric / categorical structures allow even deeper optimization.

In one recent test, a single factor (Lₙ) accounted for 74 % of a matrix’s total condition number—visualized in the bar chart below.

Implemented fully in MATLAB, our algorithms apply formal Frobenius-norm results to locate and reduce instability. Typical outcome: 80–90 % drop in condition number after a few well-placed edits.

Soon, participants will be able to send a matrix and short context for a full diagnostic and repaired variants — all confidential and verifiable.

Be free to communicate your needs to Raul at the email address below.

📩 appliedmatrixalgorithms@gmail.com

Contact us (Raul) at: appliedmatrixalgorithms@gmail.com

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ANNOUNCEMENT:

appliedmatrixalgorithms.com 64GB RAM workstations passed a matrix processing benchmark:

1) A max matrix size for condition number processing of dimensions 50,000 x 50,000

2) That is 2,500,000,000 (25x10^9) real numbers - that is double precision numbers (16 decimals) in MATLAB.

3) The matrix loading took < 1 hr, and calculation of condition number or the inverse also took <1hr.


This enables us to process your most demanding workloads efficiently.

About Condition Numbers:

The condition number of a matrix is a measure of how sensitive the solution of a system of linear equations is to changes in the input data.

It quantifies the potential for numerical errors during computations.

A high condition number indicates that the matrix is ill-conditioned, meaning small changes in the input can lead to large changes in the output, while a low condition number suggests that the matrix is well-conditioned and more stable for numerical calculations

Educate your staff and office with true stories of fraud detection using Benford's Law - and other inspiring messages - in posters or canvas quality wall prints

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Awesome products for Auditors, Accountants and Staff

About Fraud Detection Algorithms

FDA was created by Raul Garcia who has a Master in Mathematics from the University of California San Diego (UCSD), and is a professional software developer.

Most fraud software is only for the big guys online ordering systems, no one cares about the smaller Romance Scams victims - possibly you!.

But there are hundreds of thousands of victims WoldWide and their losses are from $100 to $200,000 by using sophisticated protocols to scam any type of victim. It is a criminal enterprise.

Crypto payments or offers (get rich), direct bank payments (both not recoverable) and gift cards are common devices to separate you from YOUR Money permanently.

Many do not report the loss or talk about it due to shame, but this is trick they use to hide this...

We developed an excel program that has 15 YES/NO QUESTIONS and scores them using a weighted scale algorithm. The final score indicates the danger of a romance scam.

It also has TABs with information and links to the BBB and FTC and more for YOUR education, such as Free videos on amazon of some UK scams.

On the BBB site below you can read from thousands on stories by REAL VICTIMS and learn from them the many ways anyone can be scammed.

Romance Scam ToolBBB Romance Tracker Database - read the real stories here and lean!

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Do You know the most common way that corporate FRAUD is detected?

It is NOT by auditing etc. - it is from Whistleblowers! This is untenable - FDA uses sophisticated algorithms like the powerful legally accepted Benfords Law.

We can do the Benfords analysis law within a week in Excel format for ease of use. BL points right to the suspect amounts you NEED to check to protect your money and firm.

-- AUDITORS --

Soon FDA will release a set of Excel workbooks that can do the Benford's Law analysis for 1,2 or 3 1st digits for a VERY PRECISE flagging of anomalies and possible fraud.

1-2 digits is ideal for small/medium size companies, 3 digits for large companies with 10's of thousands of transactions.

These tools are IDEAL for Payables data - where it is so easy to hide fraud due to a very large number of transactions.

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